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Finding the Fourth Proportional to 303,163.20, 454,746.30 and 78,507.88

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Solution

The fourth proportional to 303,163.20, 454,746.30 and 78,507.88 is: 117,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,163.20 : 454,746.30 = 78,507.88 : x
  2. Step 2: Convert to fraction form
    303,163.20/454,746.30 = 78,507.88/x
  3. Step 3: Cross multiply
    303,163.20x = 454,746.30 × 78,507.88
  4. Step 4: Simplify right side
    303,163.20x = 35,701,167,950.84
  5. Step 5: Solve for x
    x = 35,701,167,950.84/303,163.20
  6. Step 6: Final answer
    x = 117,762.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.